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Tackling the inverse problem for non-autonomous systems : application to the life sciences / / Tomislav Stankovski



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Autore: Stankovski Tomislav Visualizza persona
Titolo: Tackling the inverse problem for non-autonomous systems : application to the life sciences / / Tomislav Stankovski Visualizza cluster
Pubblicazione: New York, : Springer, 2014
Edizione: 1st ed. 2014.
Descrizione fisica: xv, 135 p
Disciplina: 621
Soggetto topico: Inverse problems (Differential equations)
Bayesian statistical decision theory
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: Theoretical background: non-autonomous systems and synchronization -- Inference of time-evolving coupled dynamical systems in the presence of noise -- Application to life sciences -- Analogue simulation and synchronization analysis of non-autonomous oscillators.
Sommario/riassunto: This thesis presents a new method for following evolving interactions between coupled oscillatory systems of the kind that abound in nature. Examples range from the subcellular level, to ecosystems, through climate dynamics, to the movements of planets and stars.  Such systems mutually interact, adjusting their internal clocks, and may correspondingly move between synchronized and non-synchronized states. The thesis describes a way of using Bayesian inference to exploit the presence of random fluctuations, thus analyzing these processes in unprecedented detail.  It first develops the basic theory of interacting oscillators whose frequencies are non-constant, and then applies it to the human heart and lungs as an example. Their coupling function can be used to follow with great precision the transitions into and out of synchronization. The method described has the potential to illuminate the ageing process as well as to improve diagnostics in cardiology, anesthesiology and neuroscience, and yields insights into a wide diversity of natural processes.
Titolo autorizzato: Tackling the Inverse Problem for Non-Autonomous Systems  Visualizza cluster
ISBN: 3-319-00753-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910300387003321
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Serie: Springer theses.